Answer:
[tex]f(n) = \frac{4^n-0.25}{3}[/tex] --- Job offer 1
[tex]g(n) = 16n[/tex] --- Job offer 2
[tex]1 \le n \le 10[/tex]
Step-by-step explanation:
Given
Job offer 1:
Offer = $0.25
[tex]Day 1 = \$1\ Day 2 = \$4\ Day 3 = \$16......[/tex]
Job offer 2:
Daily = $16
Required
Determine the equation for both jobs
For job offer 1:
Considering the pay for day 1, day 2,....
The sequence shows a geometry progression where the payment between subsequent days is a product of 4 by the payment of the previous day.
The sequence can be represented as:
[tex]T_1 = 1; T_2 = 4; T_3 = 16[/tex]
The common ratio (r) is:
[tex]r = \frac{T_2}{T_1} = \frac{4}{1} = 4[/tex]
The sum of n terms is the total salary received in n days.
[tex]S_n = \frac{a(r^n - 1)}{r-1}[/tex]
[tex]S_n = \frac{1 * (4^n - 1)}{4-1}[/tex]
[tex]S_n = \frac{4^n - 1}{3}[/tex]
So, the equation for job offer 1 is:
[tex]f(n) = Offer + S_n[/tex]
[tex]f(n) = 0.25+ \frac{4^n - 1}{3}[/tex]
Take LCM
[tex]f(n) = \frac{0.75 + 4^n - 1}{3}[/tex]
Collect like terms
[tex]f(n) = \frac{4^n - 1+0.75}{3}[/tex]
[tex]f(n) = \frac{4^n-0.25}{3}[/tex]
For job offer 2:
Daily payment of $16 implies that job offer 2 pays 16n for n days.
So:
[tex]g(n) = 16n[/tex]
In both cases: [tex]1 \le n \le 10[/tex]
HELP giving brainlest for first person that answers and extra points
I need help finding X fast!!!!
c) Describe the relationship between E and K. What is the measure of K?
Answer:
E and K are congruent because e and k are alternate exterior angles.
Step-by-step explanation:
Solve for x
Literally forgot how to do this..
Answer:
x = 114 ur welcome
Step-by-step explanation:
Answer:
x = 114
Step-by-step explanation:
Given
[tex]\frac{x+18}{4}[/tex] = 33 ( multiply both sides by 4 to clear the fraction )
x + 18 = 132 ( subtract 18 from both sides )
x = 114
A triangle has a perimeter of 13x-21 units. One side is 4x+3 units. The other side is 5x-8 units. Write an expression to find the missing side.
Answer:
4x - 16
Step-by-step explanation:
A triangle is a three sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees
the perimeter of a triangle = sum of the side lengths
let the unknown length be represented with y
13x - 21 = 4x + 3 + 5x - 8 + y
13x- 21 = 9x - 5 + y
Make y the subject of the formula
13x - 21 - 9x + 5 = y
4x - 16 = y
the side length = 4x - 16
Determine the volume of the composite figure displayed.
A
108 cm3
B
60 cm3
с
36 cm3
D
20 cm3
Answer:
B
Step-by-step explanation:
A cube-shaped box has a volume of 1000 cubic inches. How tall is the box?
Answer:
10 inches
Step-by-step explanation:
the box is 1000 cubic inches in volume, and 10×10×10 is 1000
The side lengths are each 10 inches tall
The box is 10 inches tall, wide, and long
choose the answer that best completes the sentence.
If you know a root of a function is -2+V3i , then ___.
Answer:
2 + V3i is a known root
Step-by-step explanation:
We want the positive and negative values from the square root
Answer:
D. -2-[tex]\sqrt{3i[/tex]Step-by-step explanation:
I am taking the assignment and got it correct. Good luck
8. Jackie is selling cookies as a
fundraiser. Each box of cookies she
sells costs $4. Write an expression
that can be used to show how
much she will earn.
от е
The diagram below shows a rectangle inside of a regular hexagon. the apothem of the hexagon is 17.32 units. to the nearest square unit, what is the area of the shaded region?
Answer:
your answer will be A)719 units²
Step-by-step explanation:
hope it helps ^_^
Given right triangle JKL, what is the value of cos(L)?
Answer:
5/13 pal, the first one,,,,
[tex] {3x}^{2} - 3x - 5 = 0[/tex]
3 x q x 7 x q= ___. Can someone help?
[tex]21 {q}^{2} [/tex]
Step-by-step explanation:
[tex]3 \times 7 \times q \times q = \\ 21 \times q \times q = \\ 21q {}^{2} [/tex]
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If BC=6 and DC=4, what is the length of AC ?
Step-by-step explanation:
BC^2 + DC^2 = AC^2
6^2 + 4^2 =AC^2
36 + 16 = AC^2
52=AC^2
√52=AC
AC=7.2111
Your friend Alex has won a scholarship to study abroad. (Congratulations!) Alex has only 8 weeks to earn enough money to buy a plane ticket, and he wants to work at an amusement park over the summer to acheive this goal
What’s the question?
Step-by-step explanation:
?
A coin is tossed and a card is drawn from a standard deck of 52 cards. What is the probability of tossing a heads and drawing a diamond?
A. 7/52
B. 1/8
C. 13/104
D. 3/26
Answer:
a
Step-by-step explanation:
a
The length of the minute hand is 150% of the length of the hour hand. In 2 hours, how much farther does the tip of the minute hand move than the tip of the hour hand? Round your answer to the nearest tenth. mm
The question seems incomplete, as the length of the hour hand isn't given ;
If the tip of the hour hand is taken as 30mm
Answer:
534.1 mm
Step-by-step explanation:
In 2 hours ; cycle performed :
2/ 12
Circumference of a circle = 2 * pi *r
Circumference = 2 * pi * 30 = 60pi
Distance traveled : 60pi * 2/12 = 120pi/ 12 =10pi
The minute hand travels 2 comply cycle in 2 hours
150% taller than short hand :
1.5 * 30 = 45 mm
Distance traveled : 2 (2 * pi * 45) = 180pi
(180pi - 10pi) = 170pi
170π = 534.07075
= 534.1 mm
A golf course has 18 holes. A guidebook provided to golfers includes useful information about each hole, as shown below. A 4-column table with 6 rows. Column 1 is labeled hole number with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled yards with entries 312, 530, 147, 350, 410, 185. Column 3 is labeled bunkers with entries 2, 5, 1, 0, 2, 1. Column 4 is labeled difficulty level with entries moderate, moderate, easy, moderate, hard, moderate. What are the individuals in this data set? holes yards bunkers difficulty levels
Answer:
Holes got it right :)
Step-by-step explanation:
Answer
difficulty levels
Step-by-step explanation:
took the test
sorry different question
6 - 4 (6n + 7 ) > 122 giving brainlest to whoever shows work
Answer:
n<-6
Step-by-step explanation:
6-24n-28>122
-22-24n>122/:(-2)(devide the whole equation by (-2), when u devide by a negative number > changes to <)
11+12n>-61
12n<-72
n<-6
In a classroom, there are 3 more girls than boys and the ratio of girls to boys is 6 to 5.
What are the total number of students in the class?
Answer:
33 students
Step-by-step explanation:
ratio = 6 : 5
if there are 3 more girl that boy
ratio 1 equal 3.
total ratio
6 + 5 = 11
total number of students
11 × 3 = 33
In AABC, the measure of ZC=90°, the measure of ZA=63°, and AB = 35 feet. Find the
length of CA to the nearest tenth of a foot.
35
63°
C
A
х
jawaban:C = 45
I hope this helps
factorise fully :
4(x - y)^2 - 9(x + y)^2
Answer:
- ( 5x + y ) ( x + 5y )
or
-5x^2 - 5y^2 - 26xy
Answer:
Step-by-step explanation:
4(x^2-2xy+y^2)-9(x^2+2xy+y^2)
4x^2-8xy+4y^2-9x^2-18xy-9y^2
-5x^2-26xy-5y^2
-5x^2-xy-25xy-5y^2
-x(5x+y)-5y(5x+y)
(-x-5y)(5x+y) or you can also remove the negative one to get
-(x+5y)(5x+y)
help me plz due in 20 minutes
9514 1404 393
Answer:
B) y = 0.25x +5
Step-by-step explanation:
The x-value differ by 1, so the slope is the difference in y-values.
Comparing for x=2 and x=3, we see that the y-value increases by 0.25 from 0 to 0.25. This is the slope of the data in the table.
The equation with the same slope will have 0.25 as the x-coefficient. The equation of choice B is the one you're looking for.
y = 0.25x +5
_____
You don't care about the equation of the table, but it is ...
y = 0.25x -0.5
Will has a spinner with six equal sections numbered one through six. If Will spins the spinner 150 times, how many times can he expect to spin a number less than 5
Can someone help me please
Answer:
the answer is yes.
Step-by-step explanation:
Answer:
It is a which is (-2,2).............
3a=1
What is a equal to?
Answer:
1/3
Step-by-step explanation:
3a = 1
/3 /3
a = 1/3
Answer:a
a= one third or 1/3
3 times 1/3 = 1
Step-by-step explanation:
which equation represents the graph below
A. y= x^2 + 3
B. y= -x^2 + 3
C. y= -x + 3
D. y= -x^2
Answer:
B
Step-by-step explanation:
The y-intercept is 3 and the parabola is facing down which means the x^2 has to be negative.
help
What is an equation of the line that passes through the points (-4, 4) and (8.1)?
Answer:
y = -1/4x +3
Step-by-step explanation:
Hope this helps!
-x=5 can you help me please
Answer is in the file below
tinyurl.com/wpazsebu
ALEGBRA 1 ! help. me. please. this. is. so. hard. i dont. understand it.
Answer:
Part a) to find the maximum height of the snowball, you have to differentiate the function. Therefore you get ----> dh/dt= -32x-8 . Now equate this to zero and solve for x. x= (-1)/4 now sub this value in to find h(x) [note: i'm talking about the original function] . I got h max = h((-1)/4) = 9 which is the max height.
Step-by-step explanation:
I'm not too sure about the other questions. Sorry